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85730877 = 3241232333
BaseRepresentation
bin1010001110000…
…10011000111101
312222022120122200
411013002120331
5133421342002
612301302113
72060462151
oct507023075
9188276580
1085730877
1144435971
1224864939
13149b8a3b
14b559061
1577d6b1c
hex51c263d

85730877 has 12 divisors (see below), whose sum is σ = 126854364. Its totient is φ = 55759680.

The previous prime is 85730849. The next prime is 85730893. The reversal of 85730877 is 77803758.

85730877 is a `hidden beast` number, since 8 + 573 + 0 + 8 + 77 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51753636 + 33977241 = 7194^2 + 5829^2 .

It is not a de Polignac number, because 85730877 - 28 = 85730621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85730377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115798 + ... + 116535.

It is an arithmetic number, because the mean of its divisors is an integer number (10571197).

Almost surely, 285730877 is an apocalyptic number.

It is an amenable number.

85730877 is a deficient number, since it is larger than the sum of its proper divisors (41123487).

85730877 is a wasteful number, since it uses less digits than its factorization.

85730877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232380 (or 232377 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 85730877 is about 9259.0969862077. The cubic root of 85730877 is about 440.9395847945.

The spelling of 85730877 in words is "eighty-five million, seven hundred thirty thousand, eight hundred seventy-seven".

Divisors: 1 3 9 41 123 369 232333 696999 2090997 9525653 28576959 85730877